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Finding the Fourth Proportional to 350.84, 526.59 and 214.14

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Solution

The fourth proportional to 350.84, 526.59 and 214.14 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.84 : 526.59 = 214.14 : x
  2. Step 2: Convert to fraction form
    350.84/526.59 = 214.14/x
  3. Step 3: Cross multiply
    350.84x = 526.59 × 214.14
  4. Step 4: Simplify right side
    350.84x = 112,763.98
  5. Step 5: Solve for x
    x = 112,763.98/350.84
  6. Step 6: Final answer
    x = 321.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.